Answer:
x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
3|3x-9|=18
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|3x-9| = 18
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
For the Negative case we'll use -3(3x-9)
For the Positive case we'll use 3(3x-9)
Step 3: Solve the Negative Case
-3(3x-9) = 18
Multiply
-9x+27 = 18
Rearrange and Add up
-9x = -9
Divide both sides by 9
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18
Multiply
9x-27 = 18
Rearrange and Add up
9x = 45
Divide both sides by 9
x = 5
Which is the solution for the Positive Case
Step 5: Wrap up the solution
x=1
x=5
Solutions on the Number Line
Two solutions were found :
x=5
x=1
Answer:
A linear expression is one that has a variable in it. Also, no variable is raised higher than a power of 1 or used as a denominator. So you can't divide by a variable. So if a linear equation is commonly expressed as "y= mx+b", a linear expression would be expressed as mx+b.
Step-by-step explanation:
Y=2×2
y=4
4=-3x-1
now add 3x on both sides
3x+4= -1
now substract 4 on both sides
3x = -5
divide 3 on both side
x=-5/3
y= 4
x= -5/3
Answer: not sure but i think y=x
Step-by-step explanation:
Answer:
(B) There are 12 glasses for every 1 table
Step-by-step explanation:
Since the graph is a perfectly straight line, we can assume that there is a proportional relationship. Looking at the axes confirms this. For the 1st table, there are 12 glasses, for the 2nd, there are 24, and so on.
So, we can see that the proportion between tables and glasses is 12:1. For every 1 table, 12 glasses must be placed on it.
So, if they gave this to you as a table or a formula, you'd simply need to multiply 12 by the number of tables to see how many glasses are required.